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Research & KnowledgeEvent: September 1, 2026

Google introduced a new framework called a flow-essential assignment to marry matching and cut structures, yielding the first polynomial-time constructive algorithm for the Győri–Lovász theorem.

Published

Signal category

Research & Knowledge

Quote

We give a fundamentally new proof for the existential theorem by introducing the notion of a flow-essential assignment, a new framework that genuinely marries matching and cut structures and yields the first polynomial-time constructive algorithm for the theorem.

Mohammad Hajiaghayi|Google team

Company

Industry
Software Development
Location
Mountain View, US
Company size
296,721 employees

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